2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60376In Finsler geometry, we use calculus to study the geometry of regular inner metric spaces. In this note I will briefly discuss various curvatures and their geometric meanings from the metric geometry point of view, without going into the forest of tensors.17 pages, This article is for the 20th Winter School on Geometry and Physics at Srni in Czech Republic. It was written during my visit at Institute of Mathematics and Informatics (IMI) at University of Debrecen in Hungary. The author would like to thank Dr. S. Bácsó and Dr. L. Kozma for their great help and hospitalityDifferential GeometryMetric Geometry53C60, 53C20text